MHT CET 2025 Mathematics question

Not in JEE syllabus

The solution for minimizing the function z = x + y under an L.P.P. with constraints x + y ≥ 2, x + 2y ≤ 8, y ≤ 3, x, y ≥ 0 is

(A)at the point (0, 3)
(B)at the point (8, 0)
(C)at infinite number of points but bounded setCorrect
(D)at unbounded set

Answer: (C)

Solution

The feasible region (bounded) has corner points (from , , and the axes). Values of : . The minimum value occurs at both and , hence at every point of the segment joining them,

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Question ID VK-103184